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Question

Write the value of x for which (x + 2), 2x, (2x + 3) are three consecutive terms of an AP?

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Solution

Since (x + 2), 2x and (2x + 3) are in AP, we have:
2x - (x+2) = (2x+3) -2x
⇒ x - 2 = 3
x = 5​
∴ x = 5

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